ACnis tangent to the circle with center at B. the measure of ACB is 24 degrees.
What is the measure of ABC?

The measure of ABC is 66.
The tangent is defined as a line touching circles or an ellipse at only one point.
Given:
<ABC = 24
<BAC = 90 degree ( tangent is perpendicular radius of the circle.)
Using angle- sum property,
<ABC + <ACB + <BAC = 180
<ABC +24 +90 = 180
<ABC = 66 degrees.
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